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What profit percentage is made by selling an article at a certain pric

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Bunuel
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What profit percentage is made by selling an article at a certain pric [#permalink] New post   08 Feb 2021, 05:45
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What profit percentage is made by selling an article at a certain price if by selling it at half that price there would be a loss of 10% ?

(A) 80%
(B) 70%
(C) 60%
(D) 40%
(E) 50%
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rvgmat12
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Re: What profit percentage is made by selling an article at a certain pric [#permalink] New post   08 Feb 2021, 05:59
Let price be 100.

Price halfed loss of 10 percent so reduced price is 90

180 is the actual selling price. Profit of 80 percent

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Re: What profit percentage is made by selling an article at a certain pric [#permalink] New post   08 Feb 2021, 06:15
10%=1/10=9/10=SP/CP
So,Original SP=18
Profit=[(18-9)/10]*100=80%

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Re: What profit percentage is made by selling an article at a certain pric [#permalink] New post   18 Feb 2021, 06:08
I assumed CP to be 100
and let the price at which it is regularly sold to be X

but in the loss example, 100-X/2 = 10
X=180

Profit = 180-100
=80

Profit % = 80/100 = 80%
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Re: What profit percentage is made by selling an article at a certain pric [#permalink] New post   14 Mar 2021, 04:21
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wishmasterdj wrote:
I assumed CP to be 100
and let the price at which it is regularly sold to be X

but in the loss example, 100-X/2 = 10
X=180

Profit = 180-100
=80

Profit % = 80/100 = 80%

can you please explain the highlighted portion
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Re: What profit percentage is made by selling an article at a certain pric [#permalink] New post   15 Mar 2021, 08:41
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Saransh123 wrote:
wishmasterdj wrote:
I assumed CP to be 100
and let the price at which it is regularly sold to be X

but in the loss example, 100-X/2 = 10
X=180

Profit = 180-100
=80

Profit % = 80/100 = 80%

can you please explain the highlighted portion


X here is assumed to be the selling price.

So, if profit, it would be X-100, and
if loss, it would be 100-x

Now, in the question it is given that if he sold it at half that price (which is X/2), he incurs a loss of 10%

Therefore either 100-X/2 = 10, OR X/2-100 = -10
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Saransh123
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Re: What profit percentage is made by selling an article at a certain pric [#permalink] New post   15 Mar 2021, 18:57
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Thank You soo much wishmasterdj for clearing my doubt, here comes a kudos for you
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Re: What profit percentage is made by selling an article at a certain pric [#permalink] New post   15 Mar 2021, 22:50
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Let the cost price be 20.

If loss % is 10%, then S.P. is 18

Now selling for S.P. = 36 will give us a profit of \(\frac{(36-20)}{20} * 100 = 80%\)

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Re: What profit percentage is made by selling an article at a certain pric [#permalink]
15 Mar 2021, 22:50
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